Finding the Third Proportional to 11,735.50 and 24,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,735.50 : 24,438.50 = 24,438.50 : x
2. Step 2: Convert to fraction form
   11,735.50/24,438.50 = 24,438.50/x
3. Step 3: Cross multiply
   11,735.50x = 24,438.50 × 24,438.50
4. Step 4: Simplify right side
   11,735.50x = 597,240,282.25
5. Step 5: Solve for x
   x = 597,240,282.25/11,735.50
6. Step 6: Final answer
   x = 50,891.76